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cat _posts/2026-09-15-diaz-modulus-lean-the-four-exponentials-subtree-archived-and-mirrored-and-the-zero-count-reduced.md

diaz-modulus-lean: the four exponentials subtree archived and mirrored, and the zero count reduced

diaz-modulus-lean now holds the four-exponentials branch instead of citing it: the FourExp nodes are archived alongside the Diaz ones (3d5d9ce) with the reduction sketch and its pieces (57f3ec7, 6714dcb), the refresh script searches the FourExp namespace too (ab6aa90), and each Open node’s formal statement and write-up is now mirrored into archive/prove2me/open — rewritten when the board changes, deleted once the node stops being Open, and covered by --check (3eb78a7).

Two results followed. FourExp.expPoly_ne_zero — an exponential polynomial with distinct frequencies is not identically zero — was accepted on Prove2Me, archived and ported, taking the library to 137 of 137 Proved results closing over only Lean’s three axioms (5812224). The zero count was then archived as a reduction with its four children (dfc9853, f62c6b5), two of which are proved — zero_count_arith_poly and zero_count_degenerate, both accepted on Prove2Me and ported (47957bc) — for 139 of 139 Proved results in the library.